40126636800 has 648 divisors, whose sum is σ = 155596384944. Its totient is φ = 9826467840.

The previous prime is 40126636793. The next prime is 40126636841. The reversal of 40126636800 is 863662104.

40126636800 is a `hidden beast` number, since 4 + 0 + 12 + 6 + 636 + 8 + 0 + 0 = 666.

40126636800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40126636800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42105124 + ... + 42106076.

It is an arithmetic number, because the mean of its divisors is an integer number (240117878).

Almost surely, 2^40126636800 is an apocalyptic number.

40126636800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40126636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77798192472).

40126636800 is an abundant number, since it is smaller than the sum of its proper divisors (115469748144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40126636800 is a wasteful number, since it uses less digits than its factorization.

40126636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40126636800 in words is "forty billion, one hundred twenty-six million, six hundred thirty-six thousand, eight hundred".